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Finding the Fourth Proportional to 7,187.70, 9,919.11 and 4,202.96

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Solution

The fourth proportional to 7,187.70, 9,919.11 and 4,202.96 is: 5,800.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187.70 : 9,919.11 = 4,202.96 : x
  2. Step 2: Convert to fraction form
    7,187.70/9,919.11 = 4,202.96/x
  3. Step 3: Cross multiply
    7,187.70x = 9,919.11 × 4,202.96
  4. Step 4: Simplify right side
    7,187.70x = 41,689,572.97
  5. Step 5: Solve for x
    x = 41,689,572.97/7,187.70
  6. Step 6: Final answer
    x = 5,800.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.